82965372336 has 1200 divisors, whose sum is σ = 329271782400. Its totient is φ = 19980898560.

The previous prime is 82965372263. The next prime is 82965372353. The reversal of 82965372336 is 63327356928.

It is a happy number.

82965372336 is a `hidden beast` number, since 82 + 9 + 6 + 537 + 23 + 3 + 6 = 666.

It is a super-2 number, since 2×82965372336² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1765220665 + ... + 1765220711.

It is an arithmetic number, because the mean of its divisors is an integer number (274393152).

Almost surely, 2^82965372336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82965372336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164635891200).

82965372336 is an abundant number, since it is smaller than the sum of its proper divisors (246306410064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82965372336 is a wasteful number, since it uses less digits than its factorization.

82965372336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 82965372336 in words is "eighty-two billion, nine hundred sixty-five million, three hundred seventy-two thousand, three hundred thirty-six".